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Finding the Fourth Proportional to 4,102.43, 5,661 and 2,309.81

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Solution

The fourth proportional to 4,102.43, 5,661 and 2,309.81 is: 3,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.43 : 5,661 = 2,309.81 : x
  2. Step 2: Convert to fraction form
    4,102.43/5,661 = 2,309.81/x
  3. Step 3: Cross multiply
    4,102.43x = 5,661 × 2,309.81
  4. Step 4: Simplify right side
    4,102.43x = 13,075,806.11
  5. Step 5: Solve for x
    x = 13,075,806.11/4,102.43
  6. Step 6: Final answer
    x = 3,187.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.